{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import arrow\n",
    "import datetime as dt\n",
    "import glob\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import random\n",
    "import subprocess\n",
    "import time\n",
    "import xarray as xr\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "firstday = arrow.get(dt.datetime(2017,7,8))\n",
    "lastday = arrow.now()\n",
    "ndays = len(arrow.Arrow.range('day', firstday, lastday))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "forecast = ['00', '06', '12', '18']\n",
    "# and 48 hours"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "IST, IEN = 110, 365\n",
    "JST, JEN = 20, 285\n",
    "wgrib2 = '/data/sallen/MEOPAR/private-tools/grib2/wgrib2/wgrib2'\n",
    "resultsdir = '/results/forcing/atmospheric/GEM2.5/GRIB/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "filenames = ['CMC_hrdps_west_TCDC_*.grib2', 'CMC_hrdps_west_TMP_*.grib2',\n",
    "            'CMC_hrdps_west_SPFH_*.grib2', 'CMC_hrdps_west_DLWRF_*.grib2',\n",
    "            'CMC_hrdps_west_PRMSL_*.grib2']\n",
    "names = ['TCDC_surface',\n",
    "         'TMP_2maboveground', 'SPFH_2maboveground', 'DLWRF_surface', 'PRMSL_meansealevel']\n",
    "tmpfiles = ['tmp_cf.nc', 'tmp_temp.nc', 'tmp_qair.nc', 'tmp_lw.nc', 'tmp_pres.nc']\n",
    "models = [sog_longwave, swinbank_unsworth, prata_unsworth, dilley_unsworth, Berliand, parkinsonwashington]\n",
    "sigma = 5.6697e-8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "def get_a_field(filename, name, tmpfile, hour, resultsdir, daystring, forecaststring):\n",
    "    fn = glob.glob(os.path.join(resultsdir, daystring, forecaststring, hour, filename))\n",
    "    cmd = [wgrib2, fn[0], '-netcdf', tmpfile]\n",
    "    subprocess.run(cmd)\n",
    "    data = xr.open_dataset(tmpfile) #, decode_cf=False)  # attribute to ignore dates\n",
    "    field = data[name][0, JST:JEN, IST:IEN]\n",
    "    latitude = data['latitude'][JST:JEN, IST:IEN]\n",
    "    return field, latitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def calculate_vp(P, qair):\n",
    "    # q = r/(1+r)\n",
    "    r = qair/(1-qair)\n",
    "    # r = 0.62198 * xvw / (1 -xvw)\n",
    "    xvw = r/(0.62198+r)\n",
    "    ew = xvw * P\n",
    "    return r, xvw, ew"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(265, 255)\n"
     ]
    },
    {
     "data": {
      "image/png": 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6dUTcbvtWSWdFxEds75D0d5J2SHqrpM9FxFvnNWJj+xnxxJ6LVzwU5KBukLcZYvOmRC46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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rpndata = xr.open_dataset('/data/dlatorne/MEOPAR/GEMLAM-netcdf/2014110206_007.nc')\n",
    "TT = rpndata['TT'][0, 0, JST:JEN, IST:IEN]\n",
    "mymask = TT > 282 - 273.15\n",
    "plt.pcolormesh(mymask)\n",
    "print (mymask.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def calculate_stats(a, b, mymask, repeats):\n",
    "    mask = np.repeat(mymask, repeats)\n",
    "    bias = np.ma.array(b-a, mask=mask).mean()\n",
    "    rmse = np.sqrt(np.ma.array((b - a)**2, mask=mask).mean())\n",
    "    return bias, rmse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "bias = np.empty((6, 10))\n",
    "rmse = np.empty((6, 10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "values = {}\n",
    "ntimes = 100\n",
    "results = np.empty((ntimes, 6, 67575))\n",
    "ops_lw = np.empty((ntimes, 67575))\n",
    "fmask = np.array(mymask).flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 20171122 06 001\n",
      "1 20170725 18 005\n",
      "2 20180605 06 017\n",
      "3 20170807 00 014\n",
      "4 20171123 18 034\n",
      "5 20180706 12 035\n",
      "6 20180120 18 029\n",
      "7 20181108 12 020\n",
      "8 20171004 06 012\n",
      "9 20180710 12 003\n",
      "10 20180320 12 037\n",
      "11 20180519 06 003\n",
      "12 20171126 12 013\n",
      "13 20181129 06 014\n",
      "14 20171221 18 048\n",
      "15 20190224 18 010\n",
      "16 20181201 06 005\n",
      "17 20170914 00 005\n",
      "18 20181217 06 020\n",
      "19 20180203 00 012\n",
      "20 20180622 18 030\n",
      "21 20180827 00 046\n",
      "22 20190225 06 030\n",
      "23 20180823 12 014\n",
      "24 20180425 18 032\n",
      "25 20181113 12 009\n",
      "26 20171004 12 033\n",
      "27 20170914 12 025\n",
      "28 20180816 00 035\n",
      "29 20180404 12 047\n",
      "30 20190221 12 022\n",
      "31 20171008 18 003\n",
      "32 20171210 06 028\n",
      "33 20180714 12 045\n",
      "34 20170830 06 033\n",
      "35 20171217 12 026\n",
      "36 20180816 18 021\n",
      "37 20170809 12 008\n",
      "38 20180620 00 033\n",
      "39 20180710 00 025\n",
      "40 20180822 18 029\n",
      "41 20181008 18 047\n",
      "42 20170827 12 022\n",
      "43 20181216 06 037\n",
      "44 20181024 18 025\n",
      "45 20180502 00 016\n",
      "46 20170727 18 010\n",
      "47 20190114 18 037\n",
      "48 20171124 06 045\n",
      "49 20181122 00 048\n",
      "50 20180202 12 016\n",
      "51 20180801 06 024\n",
      "52 20180916 18 045\n",
      "53 20180521 06 015\n",
      "54 20170807 06 022\n",
      "55 20190211 00 021\n",
      "56 20180106 00 011\n",
      "57 20180129 12 008\n",
      "58 20190306 06 044\n",
      "59 20181227 18 048\n",
      "60 20180811 06 028\n",
      "61 20180624 18 041\n",
      "62 20180419 00 016\n",
      "63 20171006 00 009\n",
      "64 20171203 00 012\n",
      "65 20180421 12 035\n",
      "66 20180420 00 007\n",
      "67 20171027 12 035\n",
      "68 20181118 06 042\n",
      "69 20180616 18 023\n",
      "70 20171229 12 006\n",
      "71 20170712 00 005\n",
      "72 20180210 06 041\n",
      "73 20180621 06 047\n",
      "74 20180127 06 008\n",
      "75 20180520 06 012\n",
      "76 20180913 06 004\n",
      "77 20171019 00 039\n",
      "78 20181015 06 044\n",
      "79 20180903 18 009\n",
      "80 20180104 00 005\n",
      "81 20180215 06 039\n",
      "82 20181118 12 033\n",
      "83 20180813 06 009\n",
      "84 20181229 06 020\n",
      "85 20180201 18 025\n",
      "86 20190123 12 020\n",
      "87 20180506 00 034\n",
      "88 20180630 00 025\n",
      "89 20180122 06 018\n",
      "90 20180311 06 010\n",
      "91 20181020 06 010\n",
      "92 20181124 06 026\n",
      "93 20171122 12 036\n",
      "94 20180409 18 004\n",
      "95 20180128 18 013\n",
      "96 20180507 00 043\n",
      "97 20181126 12 038\n",
      "98 20170905 18 001\n",
      "99 20180801 18 028\n",
      "sog_longwave -24.560450864901625 38.093063009685565\n",
      "swinbank_unsworth 0.6862157393375095 21.659559788357235\n",
      "prata_unsworth 5.69488750207576 20.019822179932802\n",
      "dilley_unsworth 2.27006449658886 18.207420616471005\n",
      "Berliand -22.377915784782754 41.93076496918721\n",
      "parkinsonwashington 5.56071803609556 23.345154360550232\n"
     ]
    },
    {
     "data": {
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Qi4wMugTKE2KCLoGy5uVBlwBAwaqNdWbM13gvUkVmQVcAgEUFP96XJgU/3sc1Kwi6BAC2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yxSfqP1p+QlF7mdSkREGsE5xc2454mudN6RwsKR+5n2zV1UJWoyX6KHGjwiZ6jb1hTufq4TLcvj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\nrkJggg==\n",
      "text/plain": [
       "<Figure size 1152x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(2, 3, figsize=(16, 8))\n",
    "for times in range(ntimes):\n",
    "    day = firstday.shift(days=random.randint(0, ndays))\n",
    "    daystring = day.format('YYYYMMDD')\n",
    "    forecaststring = forecast[random.randint(0, 3)]\n",
    "    shour = random.randint(1, 48)\n",
    "    hour = f'{shour:03}'\n",
    "    phour = f'{shour-1:03}'\n",
    "    print (times, daystring, forecaststring, hour)\n",
    "    if shour != 1:\n",
    "        dwl_ph, latitude = get_a_field(filenames[3], names[3], 'prevday.nc', phour, resultsdir, daystring, forecaststring)\n",
    "    for k in range(5):\n",
    "        values[names[k]], latitude = get_a_field(filenames[k], names[k], tmpfiles[k], hour, resultsdir, daystring, forecaststring)\n",
    "        if names[k] == 'DLWRF_surface':\n",
    "            if shour != 1:\n",
    "                values[names[k]] = (values[names[k]] - dwl_ph)/3600.\n",
    "            else:\n",
    "                values[names[k]] = values[names[k]]/3600.\n",
    "    r, xvw, ew = calculate_vp(values['PRMSL_meansealevel'], values['SPFH_2maboveground'])\n",
    "    for k, model in enumerate(models):\n",
    "        results[times, k, :] = np.array(model(latitude, ew, values['TCDC_surface']/100., values['TMP_2maboveground'], sigma)).flatten()\n",
    "    ops_lw[times, :] = np.array(values['DLWRF_surface']).flatten()\n",
    "for k, model in enumerate(models):  \n",
    "    if k < 3:\n",
    "        i, j = 0, k\n",
    "    else:\n",
    "        i, j = 1, k-3\n",
    "    axs[i,j].hist2d((ops_lw*fmask).flatten(), (results[:, k, :]*fmask).flatten(),\n",
    "                   range=[[175, 375], [175, 375]])\n",
    "    axs[i,j].plot([200, 350], [200, 350], 'm-')\n",
    "    axs[i,j].set_title(model.__name__)\n",
    "    bias2, rmse2 = calculate_stats(ops_lw, results[:, k], fmask, ntimes)\n",
    "    print (model.__name__, bias2, rmse2)\n",
    "    axs[i,j].text(310, 215, str(bias2.astype(int)), color='w')\n",
    "    axs[i,j].text(310, 205, str(rmse2.astype(int)), color='w')\n",
    "fig.tight_layout()        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99\n",
      "sog_longwave -24.560450864901625 38.093063009685565\n",
      "swinbank_unsworth 0.6862157393375095 21.659559788357235\n",
      "prata_unsworth 5.69488750207576 20.019822179932802\n",
      "dilley_unsworth 2.27006449658886 18.207420616471005\n",
      "Berliand -22.377915784782754 41.93076496918721\n",
      "parkinsonwashington 5.56071803609556 23.345154360550232\n"
     ]
    },
    {
     "data": {
      "image/png": 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8uDc9ytuxPrmQCZ2XkZ9Q6ncsEREJg267WnL89p5YVIDXjljFV222qZhfQyrw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\nRCTMacAjIiIiIiIiIhLm/j/sDvN4maLB7gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1152x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "it = 2\n",
    "print(times)\n",
    "fig, axs = plt.subplots(2, 3, figsize=(16, 8))\n",
    "for k, model in enumerate(models):  \n",
    "    if k < 3:\n",
    "        i, j = 0, k\n",
    "    else:\n",
    "        i, j = 1, k-3\n",
    "    axs[i,j].hist2d((ops_lw*fmask).flatten(), (results[:, k, :]*fmask).flatten(),\n",
    "                   range=[[175, 425], [175, 425]])\n",
    "    axs[i,j].plot([175, 425], [175, 425], 'm-')\n",
    "    axs[i,j].set_title(model.__name__)\n",
    "    bias[k, it], rmse[k, it] = calculate_stats(ops_lw, results[:, k], fmask, ntimes)\n",
    "    print (model.__name__, bias[k, it], rmse[k, it])\n",
    "    axs[i,j].text(310, 215, str(bias[k, it].astype(int)), color='w')\n",
    "    axs[i,j].text(310, 205, str(rmse[k, it].astype(int)), color='w')\n",
    "fig.tight_layout()        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YBtDQ0OCNjY0DRSIej5POdPlSaHlAmdKlTCISFQMWbHe/dAjz3Qec0Wd4EvD2EOYjIiIi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\nCPj/W66XYM0+assAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(8,4))\n",
    "axs[0].plot(bias[:, 0:3], '*')\n",
    "axs[1].plot(rmse[:, 0:3], '*')\n",
    "for ax in axs:\n",
    "    ax.grid();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-26.14273954  -0.53182244   4.43778572   1.08852595 -21.23909131\n",
      "   4.66880178]\n",
      "[1.23781304 1.01061778 0.94202406 0.85991789 1.39345827 0.64415862]\n"
     ]
    }
   ],
   "source": [
    "print (bias[:, 0:3].mean(axis=1))\n",
    "print (bias[:, 0:3].std(axis=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* SOG : bias -26.1 +- 1.2\n",
    "* Swinbank/Unsworth : bias -0.5 +- 1.0\n",
    "* Prata/Unsworth : bias 4.4 +- 0.9\n",
    "* Dilley/Unsworth : bias 1.1 +- 0.8\n",
    "* Berliand : bias -21.2 +- 1.4\n",
    "* ParkinsonWashington : bias 4.7 +- 0.6\n",
    "\n",
    "Clearly out: SOG and Berliand\n",
    "\n",
    "Moderate but clearly not making the grade: Prata and Parkinson\n",
    "\n",
    "Of Swinbank and Dilley, Swinbank is better but not clearly at this point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[39.4666817  21.93121427 19.55890907 17.9045656  42.19395084 23.26059327]\n",
      "[0.97475152 0.32384402 0.39228727 0.23312296 0.61932764 0.16806211]\n"
     ]
    }
   ],
   "source": [
    "print (rmse[:, 0:3].mean(axis=1))\n",
    "print (rmse[:, 0:3].std(axis=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "    * SOG : rmse 39.5 +- 1.0\n",
    "    * Swinbank/Unsworth : rmse 21.9 +- 0.3\n",
    "    * Prata/Unsworth : rmse 19.6 +- 0.4\n",
    "    * Dilley/Unsworth : rmse 17.9 +- 0.2\n",
    "    * Berliand : rmse 42.2 +- 0.6\n",
    "    * ParkinsonWashington : bias 23.3 +- 0.2\n",
    "\n",
    "Clearly out: SOG and Berliand\n",
    "\n",
    "Moderate but clearly not making the grade: Swinbank and Parkinson\n",
    "\n",
    "Of Prata and Dilley, Dilley is clearly better\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "DILLEY!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# from sog\n",
    "def sog_longwave(lat, vp, rpn_NT_on_ops, rpn_TT_on_ops, sigma):\n",
    "    # cf  cloud fraction \n",
    "    # atemp_value  current air temperature [K]\n",
    "\n",
    "    atemp_value = rpn_TT_on_ops\n",
    "    cf = rpn_NT_on_ops\n",
    "    \n",
    "    r = 0.03\n",
    "    Ce = 9.37e-6\n",
    "\n",
    "    # Downward radiation from atmosphere\n",
    "    # *** There are several different ways to calculate this\n",
    "    lw_in = ((1 - r) * (1 + 0.170 * cf**2) * Ce * atemp_value**2 \n",
    "         * sigma * atemp_value**4)\n",
    "\n",
    "    return lw_in"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def swinbank_unsworth(lat, vp, rpn_NT_on_ops, rpn_TT_on_ops, sigma):\n",
    "    To = rpn_TT_on_ops\n",
    "    Lclr = 5.31e-13*To**6   # Swinbank\n",
    "    eclr = Lclr/(sigma * To**4)\n",
    "    cf = rpn_NT_on_ops\n",
    "    ewc = (1 - 0.84*cf)*eclr + 0.84*cf # Unsworth\n",
    "    Lwc = ewc * sigma * To**4\n",
    "    return Lwc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def prata_unsworth(lat, rpn_vp_on_ops, rpn_NT_on_ops, rpn_TT_on_ops, sigma):\n",
    "    eo = rpn_vp_on_ops/1000.\n",
    "    To = rpn_TT_on_ops\n",
    "    w = 465*eo/To  \n",
    "    eclr = 1 - (1 + w) * np.exp(-(1.2 + 3*w)**0.5)\n",
    "    cf = rpn_NT_on_ops\n",
    "    ewc = (1 - 0.84*cf)*eclr + 0.84*cf # Unsworth\n",
    "    Lwc = ewc * sigma * To**4\n",
    "    return Lwc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def dilley_unsworth(lat, rpn_vp_on_ops, rpn_NT_on_ops, rpn_TT_on_ops, sigma):\n",
    "# https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2008WR007394\n",
    "# Dilley clear sky algorithm\n",
    "    eo = rpn_vp_on_ops/1000.\n",
    "    To = rpn_TT_on_ops\n",
    "    w = 465*eo/To\n",
    "    Lclr = 59.38 + 113.7*(To/273.16)**6 + 96.96*np.sqrt(w/2.5) # Dilley\n",
    "    eclr = Lclr/(sigma * To**4)\n",
    "# Unsworth\n",
    "    cf = rpn_NT_on_ops\n",
    "    ewc = (1 - 0.84*cf)*eclr + 0.84*cf\n",
    "#\n",
    "    Lwc = ewc * sigma * To**4\n",
    "    return Lwc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#DATA budyko / 1.00, 0.98, 0.95, 0.92, 0.89, 0.86, 0.83, 0.80, 0.78, 0.75,   &\n",
    "#      &          0.72, 0.69, 0.67, 0.64, 0.61, 0.58, 0.56, 0.53, 0.50 /\n",
    "budyko = [1.00, 0.98, 0.95, 0.92, 0.89, 0.86, 0.83, 0.80, 0.78, 0.75,   \n",
    "               0.72, 0.69, 0.67, 0.64, 0.61, 0.58, 0.56, 0.53, 0.50]\n",
    "sbudyko = np.zeros_like(latitude)\n",
    "# and the correction factor for taking into account  the effect of clouds \n",
    "for jj in range(latitude.shape[1]):\n",
    "    for ji in range(latitude.shape[0]):\n",
    "#         DO jj = 1, jpj\n",
    "#            DO ji = 1 , jpi\n",
    "#    zalat          = ( 90.e0 - ABS( gphit(ji,jj) ) ) /  5.e0\n",
    "        zalat = (90 - np.abs(np.array(latitude[ji, jj]))) / 5\n",
    "#               indxb          = 1 + INT( zalat )\n",
    "        indxb = zalat.astype(int)\n",
    "# correction factor to account for the effect of clouds\n",
    "        sbudyko[ji,jj] = budyko[indxb]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def Berliand(rpn_lat, rpn_vp_on_ops, rpn_NT_on_ops, rpn_TT_on_ops, sigma):\n",
    "\n",
    "#--------------------------------------!\n",
    "#  long-wave radiation over the ocean  !  ( Berliand 1952 ; all latitudes )\n",
    "#--------------------------------------!\n",
    "#ztatm = sf(jp_tair)%fnow(ji,jj,1)\n",
    "#ztatm3  = ztatm * ztatm * ztatm\n",
    "    ztatm4 = rpn_TT_on_ops**4\n",
    "    zcldeff = 1.0 - sbudyko * rpn_NT_on_ops**2\n",
    "    ztaevbk = ztatm4 * zcldeff * ( 0.39 - 0.05 * np.sqrt(rpn_vp_on_ops) ) \n",
    "    zqlw = 0.97 * sigma * ( ztaevbk + 4. * ztatm4 ) / 4.\n",
    "    return zqlw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def parkinsonwashington(lat, vp, cf, TT, sigma):\n",
    "    Lw = sigma * TT**4 * (1 \n",
    "                          - 0.261 * np.exp(-7.77e-4 * (273 - TT)**2)) * (1 + 0.275*cf) \n",
    "    return Lw"
   ]
  },
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   "source": []
  }
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